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Finding the Fourth Proportional to 213,742.60, 320,630.60 and 71,588.41

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Solution

The fourth proportional to 213,742.60, 320,630.60 and 71,588.41 is: 107,388.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,742.60 : 320,630.60 = 71,588.41 : x
  2. Step 2: Convert to fraction form
    213,742.60/320,630.60 = 71,588.41/x
  3. Step 3: Cross multiply
    213,742.60x = 320,630.60 × 71,588.41
  4. Step 4: Simplify right side
    213,742.60x = 22,953,434,228.74
  5. Step 5: Solve for x
    x = 22,953,434,228.74/213,742.60
  6. Step 6: Final answer
    x = 107,388.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.